Equivariant holomorphic Hermitian principal bundles over a generalized flag manifold

Let G be a simple and simply connected complex linear algebraic group. Fix a maximal compact subgroup \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${K(G) \subset G}$$\end{document}, and let P be a parabolic subgroup of G. Let H be any connected reductive complex linear algebraic group. We classify the K(G)-equivariant holomorphic Hermitian principal H-bundles over G/P.